java.lang.Object
- java.lang.Number
- - tech.units.indriya.function.RationalNumber

All Implemented Interfaces:

Serializable
```
public final class RationalNumber
extends Number
```
Represents a rational number dividend/divisor with dividend and divisor being integer numbers.

Since:

2.0

Version:

1.2, June 21, 2019

Author:

Andi Huber, Werner Keil

See Also:

Serialized Form

Implementation Requirements:

This implementation uses BigInteger to represent 'dividend' and 'divisor'.

Field Summary

Fields
Modifier and Type	Field	Description
`static char`	`DIVISION_CHARACTER`	The default `DIVISION_CHARACTER` is ÷ which (on Windows) can by typed using Alt+ 246.
`static RationalNumber`	`ONE`
`static RationalNumber`	`ZERO`

Method Summary

All Methods Static Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`RationalNumber`	`abs()`	Returns a `RationalNumber` whose value is the absolute value of this `RationalNumber`.
`RationalNumber`	`add(RationalNumber that)`	Returns a new instance of `RationalNumber` representing the addition `this + that`.
`BigDecimal`	`bigDecimalValue()`	The `BigDecimal` representation of this `RationalNumber`.
`int`	`compareTo(RationalNumber that)`	Compares two `RationalNumber` values numerically.
`RationalNumber`	`divide(RationalNumber that)`	Returns a new instance of `RationalNumber` representing the division `this / that`.
`double`	`doubleValue()`
`boolean`	`equals(Object x)`	Compares this RationalNumber with the specified Object for equality.
`float`	`floatValue()`
`BigInteger`	`getDividend()`	For a non-negative rational number, returns a non-negative dividend.
`BigInteger`	`getDivisor()`	By convention, returns a non-negative divisor.
`int`	`hashCode()`
`int`	`intValue()`
`boolean`	`isInteger()`
`long`	`longValue()`
`RationalNumber`	`multiply(RationalNumber that)`	Returns a new instance of `RationalNumber` representing the multiplication `this * that`.
`RationalNumber`	`negate()`	Returns a new instance of `RationalNumber` representing the negation of `this`.
`static RationalNumber`	`of(double number)`	Returns a `RationalNumber` that represents the given double precision `number`, with an accuracy equivalent to `BigDecimal.valueOf(double)`.
`static RationalNumber`	`of(long dividend, long divisor)`	Returns a `RationalNumber` that represents the division `dividend/divisor`.
`static RationalNumber`	`of(BigDecimal decimalValue)`	Returns a `RationalNumber` that represents the given BigDecimal decimalValue.
`static RationalNumber`	`of(BigInteger dividend, BigInteger divisor)`	Returns a `RationalNumber` that represents the division `dividend/divisor`.
`static RationalNumber`	`ofInteger(long number)`	Returns a `RationalNumber` with divisor ONE.
`static RationalNumber`	`ofInteger(BigInteger number)`	Returns a `RationalNumber` with divisor ONE.
`RationalNumber`	`pow(int exponent)`	Returns a new instance of `RationalNumber` representing the reciprocal of `this`.
`RationalNumber`	`reciprocal()`	Returns a new instance of `RationalNumber` representing the reciprocal of `this`.
`int`	`signum()`
`RationalNumber`	`subtract(RationalNumber that)`	Returns a new instance of `RationalNumber` representing the subtraction `this - that`.
`String`	`toRationalString()`	Returns a string representation of this `RationalNumber`, using fractional notation, eg.
`String`	`toRationalString(char divisionCharacter)`	Returns a string representation of this `RationalNumber`, using fractional notation, eg.
`String`	`toString()`

Methods inherited from class java.lang.Number
byteValue, shortValue

Methods inherited from class java.lang.Object
clone, finalize, getClass, notify, notifyAll, wait, wait, wait

- Field Detail
  - DIVISION_CHARACTER
```
public static char DIVISION_CHARACTER
```
    The default DIVISION_CHARACTER is ÷ which (on Windows) can by typed using Alt+ 246.
    Note: Number parsing will fail if this is a white-space character.
  - ZERO
```
public static final RationalNumber ZERO
```
  - ONE
```
public static final RationalNumber ONE
```
- Method Detail
  - ofInteger
```
public static RationalNumber ofInteger(long number)
```
    Returns a RationalNumber with divisor ONE. In other words, returns a RationalNumber that represents given integer number.
    
    Parameters:
    
    number -
    
    Returns:
    
    number/1
    
    Throws:
    
    NullPointerException - - if number is null
  - ofInteger
```
public static RationalNumber ofInteger(BigInteger number)
```
    Returns a RationalNumber with divisor ONE. In other words, returns a RationalNumber that represents given integer number.
    
    Parameters:
    
    number -
    
    Returns:
    
    number/1
    
    Throws:
    
    NullPointerException - - if number is null
  - of
```
public static RationalNumber of(long dividend,
                                long divisor)
```
    Returns a RationalNumber that represents the division dividend/divisor.
    
    Parameters:
    
    dividend -
    
    divisor -
    
    Returns:
    
    dividend/divisor
    
    Throws:
    
    IllegalArgumentException - if divisor = 0
  - of
```
public static RationalNumber of(double number)
```
    Returns a RationalNumber that represents the given double precision number, with an accuracy equivalent to BigDecimal.valueOf(double).
    
    Parameters:
    
    number -
  - of
```
public static RationalNumber of(BigDecimal decimalValue)
```
    Returns a RationalNumber that represents the given BigDecimal decimalValue.
    
    Parameters:
    
    decimalValue -
  - of
```
public static RationalNumber of(BigInteger dividend,
                                BigInteger divisor)
```
    Returns a RationalNumber that represents the division dividend/divisor.
    
    Implementation Note:
    this implementation stores dividend and divisor after canceling down from given parameters
    
    Parameters:
    
    dividend - the dividend
    
    divisor - the divisor
    
    Returns:
    
    dividend/divisor
    
    Throws:
    
    IllegalArgumentException - if divisor = 0
    
    NullPointerException - - if dividend is null or divisor is null
  - getDividend
```
public BigInteger getDividend()
```
    For a non-negative rational number, returns a non-negative dividend. Otherwise returns a negative dividend. In other words, by convention, the integer returned includes the sign of this RationalNumber, whereas @link getDivisor() does not and is always non-negative.
    
    Returns:
    
    sign(a/b) * abs(a), (given rational number a/b)
  - getDivisor
```
public BigInteger getDivisor()
```
    By convention, returns a non-negative divisor.
    
    Returns:
    
    abs(b), (given rational number a/b)
  - isInteger
```
public boolean isInteger()
```
    Returns:
    
    whether this RationalNumber represents an integer number
  - signum
```
public int signum()
```
    Returns:
    
    the sign of this RationalNumber: -1, 0 or +1
  - bigDecimalValue
```
public BigDecimal bigDecimalValue()
```
    The BigDecimal representation of this RationalNumber.
    
    Implementation Note:
    the conversion calculation is done lazily and thread-safe
    
    Returns:
    
    this RationalNumber converted to BigDecimal representation
  - add
```
public RationalNumber add(RationalNumber that)
```
    Returns a new instance of RationalNumber representing the addition this + that.
    
    Parameters:
    
    that -
    
    Returns:
    
    this + that
  - subtract
```
public RationalNumber subtract(RationalNumber that)
```
    Returns a new instance of RationalNumber representing the subtraction this - that.
    
    Parameters:
    
    that -
    
    Returns:
    
    this - that
  - multiply
```
public RationalNumber multiply(RationalNumber that)
```
    Returns a new instance of RationalNumber representing the multiplication this * that.
    
    Parameters:
    
    that -
    
    Returns:
    
    this * that
  - divide
```
public RationalNumber divide(RationalNumber that)
```
    Returns a new instance of RationalNumber representing the division this / that.
    
    Parameters:
    
    that -
    
    Returns:
    
    this / that
  - negate
```
public RationalNumber negate()
```
    Returns a new instance of RationalNumber representing the negation of this.
    
    Returns:
    
    -this
  - reciprocal
```
public RationalNumber reciprocal()
```
    Returns a new instance of RationalNumber representing the reciprocal of this.
    
    Returns:
    
    1/this
  - pow
```
public RationalNumber pow(int exponent)
```
    Returns a new instance of RationalNumber representing the reciprocal of this.
    
    Parameters:
    
    exponent -
    
    Returns:
    
    this^exponent
  - abs
```
public RationalNumber abs()
```
    Returns a RationalNumber whose value is the absolute value of this RationalNumber.
    
    Returns:
    
    abs(this)
  - compareTo
```
public int compareTo(RationalNumber that)
```
    Compares two RationalNumber values numerically.
    
    Parameters:
    
    that -
    
    Returns:
    
    the value 0 if this equals (numerically) that; a value less than 0 if this < that; and a value greater than 0 if this > that
  - intValue
```
public int intValue()
```
    Specified by:
    
    intValue in class Number
  - longValue
```
public long longValue()
```
    Specified by:
    
    longValue in class Number
  - floatValue
```
public float floatValue()
```
    Specified by:
    
    floatValue in class Number
  - doubleValue
```
public double doubleValue()
```
    Specified by:
    
    doubleValue in class Number
  - toString
```
public String toString()
```
    Overrides:
    
    toString in class Object
  - toRationalString
```
public String toRationalString()
```
    Returns a string representation of this RationalNumber, using fractional notation, eg. 5÷3 or -5÷3.
    
    Returns:
    
    string representation of this RationalNumber, using fractional notation.
    
    Since:
    
    2.0
  - toRationalString
```
public String toRationalString(char divisionCharacter)
```
    Returns a string representation of this RationalNumber, using fractional notation, eg. 5÷3 or -5÷3.
    
    Parameters:
    
    divisionCharacter - the character to use instead of the default ÷
    
    Returns:
    
    string representation of this RationalNumber, using fractional notation.
    
    Since:
    
    2.0
  - hashCode
```
public int hashCode()
```
    Overrides:
    
    hashCode in class Object
  - equals
```
public boolean equals(Object x)
```
    Compares this RationalNumber with the specified Object for equality.
    
    Overrides:
    
    equals in class Object
    
    Parameters:
    
    x - Object to which this RationalNumber is to be compared.
    
    Returns:
    
    true if and only if the specified Object is a RationalNumber whose value is numerically equal to this RationalNumber.

Class RationalNumber

Field Summary

Method Summary

Methods inherited from class java.lang.Number

Methods inherited from class java.lang.Object

Field Detail

DIVISION_CHARACTER

ZERO

ONE

Method Detail

ofInteger

ofInteger

of

of

of

of

getDividend

getDivisor

isInteger

signum

bigDecimalValue

add

subtract

multiply

divide

negate

reciprocal

pow

abs

compareTo

intValue

longValue

floatValue

doubleValue

toString

toRationalString

toRationalString

hashCode

equals